X^2-10x+27 in the form (x-a)^2+B

Mathematics

1 answer:

Irina18 [472]3 years ago

4 0

Answer:

(x-5)^2+2

Step-by-step explanation:

To convert between standard and vertex form, you have to complete the square (which, as a reminder, (a+b)^2 = a^2+2ab+b^2).

Since a^2 is x^2, and 2ab is -10x, then b must be -5, so b^2 is 25. Therefore, we add and subtract 25 from the expression:

(x-10x+25)+27-25

Then, we can make (x-10x+25) to (x-5)^2:

(x-5)^2+2

You might be interested in

X+2y=12 <br> 3x-10y = 0<br><br> y=?<br> x=?

sergeinik [125]

$~~x+2y=12 \\ ~~3x-10y=0 \\
~------ \\~ -3/x+2y=12 \\ ~~~~~~3x-10y=0 \\ ------- \\ -3x-6y=-36 \\ ~~~~3x-10y=0 \\ +------- \\ ~~~~-16y=-36 \\ \\ ~~~~y= \frac{36}{16}\rightarrow \boxed{\frac{9}{4}} \\ \\$
$x+2. \frac{9}{4} =12 \\ \\ x+ \frac{18}{4} =12 \\ \\ \frac{4x+18}{4} =12 \\ \\ 4x+18=48 \\ 4x=30 \\ \\ x=\boxed{\frac{15}{2}}$

3 0

3 years ago

Read 2 more answers

Can somebody explain a unit rate to me? I am struggling in math.

Phoenix [80]

Unit rates actually are utilized by people frequently in every day life. A standard work week undertaken by a typical person is 40 hours per week. Unit prices are useful at grocery stores. For example, if five potatoes cost $5, the unit price is determined by dividing the total price by the number of individual potatoes, or $5 divided by 5.

3 0

3 years ago

Read 2 more answers

The fracture strength of tempered glass averages 14.1 (measured in thousands of pounds per square inch) and has standard deviati

ololo11 [35]

Answer:

0.15866 is the probability of the average fracture strength of selected 100 pieces of glasses that of exceed 14.3.

Step-by-step explanation:

Given that, the strength of a tempered(x) a glass has average 14.1 and has standard deviation 2.

$\mu_x=14.1$ , $\sigma_x=2$